Solution of a first boundary value problem of elasticity theory of forced vibrations of orthotropic plates with viscous resistance
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2012, Vol 65, Issue 2
Abstract
In this paper the forced vibrations of orthotropic plates under the influence of time-varying harmonic forces applied to the face surfaces, taking into account the internalviscous friction We consider. Solution of the problem is reduced to solving a singularly disturbed system of differential equations. The asymptotic solution of this system is obtained. It is shown that the asymptotic solution is mathematically precise, when the external effect depends on the tangential coordinate polynomially, illustrative example is given.
Authors and Affiliations
Tatevik Zakaryan
General Mathematical Models of Micropolar Thin Elastic Plates
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